.When $$\(n> 1\)$$ is an integer,$$\(n!\)$$ represents the product of the integers from 1 through $$\(\$ \$ \mathrm{n} \$\)$$ . What are the only two integers $$\(n\)$$ for which the product $$\(48!\times n!\)$$ is the square of an integer?Note:Please enter the sum of the two integers as your answer.

Mathematics
Competition
Math League
Exam No:2024 First Round Grade 6 Year:2024 Question No:30

Answer:

97

Knowledge points:

G6 - Number Theory - Prime Factorization (Application)

Solution:

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